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jim_thompson5910 answered: 28583 problems
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Functions/568532: Which of the following is NOT included in the domain of f(x)=6x+2 divided by x square-9? a.3 b.-3,3 c.9 d.-3 1 solutions Answer 367007 by jim_thompson5910(28595)   on 2012-02-06 15:27:22 (Show Source): You can put this solution on YOUR website! Since you CANNOT divide by zero, this means that x^2-9 cannot be zero. Notice how x=-3 and x=3 make x^2-9 zero. So they are NOT in the domain. So the answer is choice B ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Expressions-with-variables/568531: You have 8 bags of grass seed. Each bag covers 1200 ft squared of ground. The function A(b)= 1200b represents the are A(b), in square feet, that b bags cover. What domain and range are reasonable for the function? Explain. 1 solutions Answer 367006 by jim_thompson5910(28595)   on 2012-02-06 15:25:58 (Show Source): You can put this solution on YOUR website! Domain: Set of all nonnegative integers (ie integers that are not negative) Range: The set {0, 1200, 2400, 3600, 4800, ...} The reason why negative numbers are excluded is because negative bag counts or negative area doesn't make much sense. Integers are stressed here because you cannot buy half a bag (you must buy whole bags) The range is simply the set of all multiples of 1200

Probability-and-statistics/568529: If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours? 1 solutions Answer 367005 by jim_thompson5910(28595)   on 2012-02-06 15:22:58 (Show Source): You can put this solution on YOUR website! Since the distribution is symmetric about the mean of 2500, this means that 50% of the bulbs will have a life less than 2500 hours.

Expressions-with-variables/568528: 1/3(x-2)=4 1 solutions Answer 367004 by jim_thompson5910(28595)   on 2012-02-06 15:19:27 (Show Source): You can put this solution on YOUR website! ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Sequences-and-series/568527: not getting the understanding of these problems and they need to be self explanatory to me. 8,11,14,17,20 1,16,81,256,625 5,15,45,135,405 2,7,12,17,22 1,1/2,1/4,1/8,1/16 1 solutions Answer 367003 by jim_thompson5910(28595)   on 2012-02-06 15:18:32 (Show Source): You can put this solution on YOUR website! Hints: 8,11,14,17,20 -- adding 3 each time 1,16,81,256,625 -- 1 = 1^4, 16 = 2^4, 81 = 3^4, ... 5,15,45,135,405 -- multiplying by 3 each time 2,7,12,17,22 -- adding 9 each time 1,1/2,1/4,1/8,1/16 -- dividing by 2 each time

Permutations/568524: a student must answer 3 of the 4 essay questions on a social studies test. how much different selections of questions can be made? 1 solutions Answer 367002 by jim_thompson5910(28595)   on 2012-02-06 15:15:41 (Show Source): You can put this solution on YOUR website! There are 4 c 3 = (4!)/(3!(4-3)!) = (24)/(6*1) = 4 different ways to make a selection.

Equations/568525: -10(x+3)+28=-16-16 1 solutions Answer 367001 by jim_thompson5910(28595)   on 2012-02-06 15:14:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Combine like terms on the right side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

expressions/568484: 5 - x = -3+x 6 1 solutions Answer 366999 by jim_thompson5910(28595)   on 2012-02-06 15:12:21 (Show Source): You can put this solution on YOUR website! ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Quadratic_Equations/568520: how do you completely factor y5-26y 1 solutions Answer 366998 by jim_thompson5910(28595)   on 2012-02-06 15:08:43 (Show Source): You can put this solution on YOUR website!

Linear-systems/568517: Please help me solve this equation: 3x-2y=5 x=y+10 1 solutions Answer 366995 by jim_thompson5910(28595)   on 2012-02-06 15:00:04 (Show Source): You can put this solution on YOUR website! 3x-2y=5 3(y+10)-2y=5 3y+30-2y=5 y+30=5 y=5-30 y=-25 -------------------------- x=y+10 x=-25+10 x=-15 So the solutions are x = -10 and y = -25 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Graphs/568516: y+x=3 1 solutions Answer 366994 by jim_thompson5910(28595)   on 2012-02-06 14:57:46 (Show Source): You can put this solution on YOUR website! Solving for y, we get y+x=3 y+x-x=3-x y = -x+3

Equations/567412: If 4p-2=-3(p-4), then p=? 1 solutions Answer 366993 by jim_thompson5910(28595)   on 2012-02-06 14:57:15 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

test/568513: 1 solutions Answer 366985 by jim_thompson5910(28595)   on 2012-02-06 14:50:24 (Show Source): You can put this solution on YOUR website! missing problem

Linear-systems/568510: What the x and the y in substitution system of equations. 3x+y=9 y=-5x+9 show details please. 1 solutions Answer 366983 by jim_thompson5910(28595)   on 2012-02-06 14:46:00 (Show Source): You can put this solution on YOUR website! 3x+y=9 3x+(-5x+9)=9 3x-5x+9=9 -2x+9=9 -2x=9-9 -2x=0 x=0/(-2) x=0 -------------------------- y = -5x+9 y = -5(0)+9 y = 0+9 y = 9 So the solutions are x = 0 and y = 9 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

test/568508: I need help on solving systems using substitutions. Y=X+4 Y=3X 1 solutions Answer 366982 by jim_thompson5910(28595)   on 2012-02-06 14:42:57 (Show Source): You can put this solution on YOUR website! y=x+4 3x=x+4 3x-x=4 2x=4 x=4/2 x=2 ------------------- y=x+4 y=2+4 y=6 So the solutions are x = 2 and y = 6 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Polynomials-and-rational-expressions/568507: (a + b - c)(a + b + c) 1 solutions Answer 366981 by jim_thompson5910(28595)   on 2012-02-06 14:40:29 (Show Source): You can put this solution on YOUR website! Hint: (a + b - c)(a + b + c) = a(a + b + c) + b(a + b + c) - c(a + b + c)

Rectangles/568504: By decreasing the length of the side by one unit, the area of a square decreased from 100 square meters to 81 square meters. Find the percent decrease in area. 1 solutions Answer 366979 by jim_thompson5910(28595)   on 2012-02-06 14:35:43 (Show Source): You can put this solution on YOUR website! (100-81)/(100) = 19/100 = 0.19 So the percent decrease is 19% ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Permutations/568476: Given that P(A) = 0.5, P(B) = 0.6, and P(A and B) = 0.10, determine P(A|B) Choices are 0.30, 0.17, 0.11, 0.20 1 solutions Answer 366976 by jim_thompson5910(28595)   on 2012-02-06 14:31:59 (Show Source): You can put this solution on YOUR website! P(A|B) = P(A intersect B)/P(B) P(A|B) = P(A and B)/P(B) P(A|B) = 0.1/0.6 P(A|B) = 0.1667 which rounds to P(A|B) = 0.17 So the answer is choice B ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Expressions-with-variables/568501: I need help for this question: Define variables and write an equation to model the relationship in each table. Number of hours. Total Pay 4 $32 6. $48 8. $64 10. $80 Any help would be appreciated! Thank you! 1 solutions Answer 366974 by jim_thompson5910(28595)   on 2012-02-06 14:30:19 (Show Source): You can put this solution on YOUR website! Let x = # of hours and y = total pay Notice how as x increases by 2, y increases by 16. So the change is 16/2 = 8, which means that the slope is 8. So Now when x = 4, y = 32. So use this info to find b in So the equation is or simply ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Numeric_Fractions/568457: is -14 a whole number? Interger? natural number? irrational number? rational number? or a real number? 1 solutions Answer 366964 by jim_thompson5910(28595)   on 2012-02-06 13:00:52 (Show Source): You can put this solution on YOUR website! -14 is an integer, a rational number (since -14 = -14/1), and a real number ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Triangles/568453: how to find the height of a triangle with a base of 12 and area 54 1 solutions Answer 366962 by jim_thompson5910(28595)   on 2012-02-06 12:57:26 (Show Source): You can put this solution on YOUR website! A = (bh)/2 54 = (12h)/2 54*2 = 12h 108 = 12h 108/12 = h 9 = h h = 9 So the height is 9 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Numeric_Fractions/568450: what is 7/9 times 7/9 subtracted by 1/7 ? 1 solutions Answer 366961 by jim_thompson5910(28595)   on 2012-02-06 12:49:03 (Show Source): You can put this solution on YOUR website! (7/9)*(7/9)-1/7 49/81-1/7 (49/81)*(7/7)-(1/7)*(81/81) 343/567 - 81/567 (343 - 81)/567 262/567 So (7/9)*(7/9)-1/7 = 262/567 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Linear-equations/568443: Solve for y 2x+15y=5 1 solutions Answer 366960 by jim_thompson5910(28595)   on 2012-02-06 12:39:01 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Square-cubic-other-roots/568441: simplify square root of x squared minus 2x plus 1 1 solutions Answer 366959 by jim_thompson5910(28595)   on 2012-02-06 12:37:58 (Show Source): You can put this solution on YOUR website! Hint: is a perfect square trinomial and can be factored into

Functions/568415: Hi, I'm taking an online math class as a freshman in high school and I'm making a 65 because I can't figure out how to work the problems can you help me by explaining how to do this problem with all the steps if h(x)=3x+2 and g(x)=f(x)-2, then what does g(3)= 1 solutions Answer 366958 by jim_thompson5910(28595)   on 2012-02-06 12:36:29 (Show Source): You can put this solution on YOUR website! g(x)=f(x)-2 g(3)=f(3)-2 The only problem is that we have no idea what the function f(x) is, so we cannot go any further. Make sure that there are no typos.

Travel_Word_Problems/568435: Jessie and Harper left their school at the same time and began travelling down the same road in the same direction. Jessie was travelling at a speed of 65mph while Harper drove at 70 mph. How many hours was it before Harper was 5 miles ahead of Jessie? This is what I tried (I have no clue how to even start): 65x = 70(x+5/70) 65x = 70 (x + 1/14) 65x = 70x + 5 -70x -70x -5x = 5 /-5 /-5 x = -1 hours I do have access to the answer booklet but it says that the answer is 1, not -1, but it doesn't show how to do it and our teacher expects us to show our work. Thank you so so much! Brianna, age 14 1 solutions Answer 366952 by jim_thompson5910(28595)   on 2012-02-06 12:28:33 (Show Source): You can put this solution on YOUR website! You can use intuition and think that if Jessie is traveling 65 mph, then in one hour, s/he will have gone 65 miles. In that same time, Harper drove at 70 mph, which means that s/he will have gone 70 miles. The difference of these distances is 70 - 65 = 5 miles. Or you can set up the equation . To get this equation, we basically use the idea that (Harpers Distance) - (Jessies Distance) = 5 miles and that Distance = (Rate) * (Time) Now solve for x to get and get the same answer. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

expressions/568397: (4y^2-5y)+(3y-7y^2)-(2y^2+6y-5) 1 solutions Answer 366950 by jim_thompson5910(28595)   on 2012-02-06 12:21:51 (Show Source): You can put this solution on YOUR website! Start with the given expression. Distribute Group like terms Combine like terms So simplifies to In other words, for all values of y. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Exponents/568385: what are the steps way to solve this equations: 48xy/48x 1 solutions Answer 366949 by jim_thompson5910(28595)   on 2012-02-06 12:18:57 (Show Source): You can put this solution on YOUR website! Divide 48 into 48 to get 1 Then divide xy into x to get y (since x/x = 1) So for all values of x and y (where x is not zero) ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Proofs/568394: 1. ~H 2. H v K 3. L >H 4. ~(K.~L) v (~L.M) / M 1 solutions Answer 366948 by jim_thompson5910(28595)   on 2012-02-06 12:17:09 (Show Source): You can put this solution on YOUR website! 1. ~H 2. H v K 3. L >H 4. ~(K * ~L) v (~L * M) / M ----------------------------- 5. K 2,1 Disjunctive Syllogism 6. ~L 3,1 Modus Tollens 7. K * ~L 5,6 Conjunction 8. ~~(K * ~L) 7 Double Negation 9. ~L * M 4,8 Disjunctive Syllogism 10. M * ~L 9 Commutation 11. M 10 Simplification

Functions/568428: What is the value of f(-3). The equation is f(-3)?f(x) = 2x second power+ 5x-9 1 solutions Answer 366947 by jim_thompson5910(28595)   on 2012-02-06 12:07:53 (Show Source): You can put this solution on YOUR website! Start with the given function Plug in (ie replace every x with -3) Square -3 to get 9 Multiply Combine like terms So the answer is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------

Equations/568236: 2[x-5(x+2)+3] 1 solutions Answer 366876 by jim_thompson5910(28595)   on 2012-02-05 21:11:39 (Show Source): You can put this solution on YOUR website! 2[x-5(x+2)+3] 2[x-5x-10+3] 2[-4x-7] -8x-14